When he raises I thought that no draws complited so he doesn't have str8.
And probably that this 6 made his hand stronger so I expected most of the time for him to have 56,T6,66 I beat other two pairs from that so I moved all in. He could also have likt T5, A5, AT, TT, 55 but pretty often he'd get aggressive on the flop with those.

Nah, we can't be sure that he would get aggressive with hands like TT/55/AT there, he may as well easily trap with them. Also hand like T5, not really sure if he even plays such a hand, maybe at the best just T5s. So against that kind of range we really have to hope that he either has bluffs in his range there (which of course according the raise size on turn, not sure if it's even going to happen) or just overplays any kind of TP type of hand.

But of course if we consider doing that and have even just Ax hands there or of course bluffs as you mention his Check/Raise on turn but didn't mention much about his usually raise size:Board: A
5
T
6 Equity Win TieUTG 32.69% 32.17% 0.52% { 55, ATs+, A5s, ATo+, A5o }UTG+1 67.31% 66.78% 0.52% { Ac6h }

We might get something similar, but of course if we remove the Ax hand here then most likely we ain't getting that good equity anymore. So it's the question towards what kind of hands he could be playing this way and if he could be overplaying TP.

But of course against such an opponent it's not gonna be easy to get away here anyways and shouldn't be a huge mistake if you even went broke.